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Some convergence theorems for HK-integral in locally convex spaces. (English) Zbl 1217.28022

Summary: We present some convergence theorems for the HK-integral of functions taking values in a locally convex space. These theorems are based on the concept of HK-equi-integrability.

MSC:

28B05 Vector-valued set functions, measures and integrals
46G10 Vector-valued measures and integration